Lyubeznik numbers of local rings and linear strands of graded ideals
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n this work we intro duce a new set of invariants asso ciated to the linear strands of a minimal free resolution of a Z -graded ideal I R = | [ x 1 ;:::;x n ] . We also prove that these invariants satisfy some prop erties analogous to those of Lyub eznik numb ers of lo cal rings. In particular, they satisfy a consecutiveness prop erty that we prove rst for Lyub eznik numb ers. For the case of squarefree monomial ideals we get more insight on the relation b etween Lyub eznik numb ers and the linear strands of their asso ciated Alexander dual ideals. Finally, we prove that Lyub eznik numb ers of Stanley- Reisner rings are not only an algebraic invariant but also a top ological invariant, meaning that they dep end on the homeomorphic class of the geometric realization of the asso ciated simplicial complex and the characteristic of the base field
CitacióAlvarez, J.; Yanagawa, K. "Lyubeznik numbers of local rings and linear strands of graded ideals". 2014.
Versió de l'editorhttp://www.ma1.upc.edu/recerca/preprints/preprints-2014#6